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# pls help counting

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How many numbers can be expressed as the sum of two or more distinct elements of the set $$\{0, 1, 2, 4, 8, 16\}$$?

Jan 5, 2019

$$\text{What the sum of these elements is describing is a 5 digit binary number that includes 0}\\ \text{There are }2^5=32 \text{ of these, 0-31}$$